Handout 4

Instructional Alignment Chart
Big Idea:
Number and Quantity
Standard for Grade/Course: Grade 8
Standard for Grade/Course: Algebra I
Standard for Grade/Course: Algebra II
8.NS.A.1Know that numbers that are not rational N-RN.3. Explain why the sum or product of two
N-RN.1 Explain how the definition of the meaning
are called irrational. Understand informally that rational numbers is rational; that the sum of a
of rational exponents follows from extending the
every number has a decimal expansion; for
rational number and an irrational number is
properties of integer exponents to those values,
rational numbers show that the decimal
irrational; and that the product of a nonzero rational allowing for a notation for radicals in terms of
expansion repeats eventually, and convert a
number and an irrational number is irrational.
rational exponents. For example, we define 5 1/3 to
decimal expansion which repeats eventually into a
be the cube root of 5 because we want (51/3 )3 =
rational number
5(1/3)3 to hold, so (51/3 ) 3 must equal 5.
Levels of Instruction
Implications for instruction and assessment
A Study of the Standards
Texas Essential Knowledge & Skills
©2014, The Charles A. Dana Center at The University of Texas at Austin
Levels of Instruction